Space-time fractional Schrödinger equation with composite time fractional derivative

DOI10.1515/FCA-2015-0068zbMath1331.35366OpenAlexW2345834663MaRDI QIDQ888906

Trifce Sandev, Johan L. A. Dubbeldam, Živorad Tomovski

Publication date: 3 November 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/fca-2015-0068

zbMATH Keywords

fractional derivativesMittag-Leffler functionsfractional Schrödinger equationFox \(H\)-function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (11)

Effective potential from the generalized time-dependent Schrödinger equation ⋮ Nontrivial solutions for time fractional nonlinear Schrödinger-Kirchhoff type equations ⋮ Exact asymptotic formulas for the heat kernels of space and time-fractional equations ⋮ Limitations and applications in a fractional Barbalat's lemma ⋮ On flow of electric current in RL circuit using Hilfer type composite fractional derivative ⋮ Generalized distributed order diffusion equations with composite time fractional derivative ⋮ Fractional Schrödinger equation in the presence of the linear potential ⋮ Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator ⋮ Generalized time-dependent Schrödinger equation in two dimensions under constraints ⋮ Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations ⋮ Distributed-order wave equations with composite time fractional derivative

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